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Use the Sine rule.

If L is the length of the longer leg, then L/sin(60) = 6/sin(30)

So that L = 6*sin(60)/sin(30) = 12*sin(60) = 12*sqrt(3)/2 = 10.39 units.

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Q: The shorter leg of a 30-60-90 degree triangle is 6 what is the length of the other leg?
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